Arrange the following number of teams in a sequential order from less to more with respect to allotment of byes in a Knock-out Tournament :(A) 05
(B) 14
(C) 32
(D) 12
(E) 63
Choose the correct answer from the options given below :
To order teams sequentially by byes in a Knock-out Tournament, determine the next power of 2 equal to or exceeding the team count. The byes needed are the difference between this power of 2 and the team count.
Steps:
1. Find the smallest power of 2 that is greater than or equal to the number of teams.
2. Subtract the number of teams from this power of 2 to get the number of byes.
| Teams | Next Power of 2 | Byes |
|---|---|---|
| 05 | 8 (23) | 3 (8-5) |
| 14 | 16 (24) | 2 (16-14) |
| 32 | 32 (25) | 0 (32-32) |
| 12 | 16 (24) | 4 (16-12) |
| 63 | 64 (26) | 1 (64-63) |
3. Rank teams by byes in ascending order: 32 (0 byes), 63 (1 bye), 14 (2 byes), 05 (3 byes), 12 (4 byes).
The correct sequence based on the number of byes is: (C) 32, (E) 63, (B) 14, (A) 5, (D) 12.
| LIST I | LIST II | ||
|---|---|---|---|
| A | AAI | II | Archery |
| B | ALFF | I | Football |
| C | AFI | IV | Athletics |
| D | BAI | III | Badminton |
| LIST I | LIST II | ||
|---|---|---|---|
| A | Asian Games Tokyo | I | 1958 |
| B | Asian Games Jakarta | III | 1962 |
| C | Asian Games Guangzhou | IV | 2010 |
| D | Asian Games Bangkok | II | 1998 |
| LIST I | LIST II | ||
|---|---|---|---|
| A | Pankration | I | An event combining running & wrestling |
| B | Hoplitodromos | II | A race where competitors ran in full armor |
| C | Diaulos | III | A sprinting race of 400 meters |
| D | Tethrippon | IV | Four horse chariot race |